In addition to the stat increase that others have mentioned, you should also consider the upgrade cost and time of each.
Cost wise, archers has a higher upfront cost at 7.5 million elixir. Not only will you need to get the fourth elixir storage up, you’ll need to farm enough to fill the new storage halfway, in addition to what else you might’ve already spent on other things (lab, de drills, camps). Giants and barbs are 6 mil and 4.5 mil, which gives you a bit more leeway in terms of what else you might upgrade first.
Time wise, archer takes 14 days to complete, while barbs/giants both take 10 days. You’ll be able to benefit from the new troops sooner, and be able to farm better sooner.
Mike





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